Random unitary matrices
- 21 June 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (12) , 4235-4245
- https://doi.org/10.1088/0305-4470/27/12/028
Abstract
Methods of constructing random matrices typical of circular unitary and circular orthogonal ensembles are presented. We generate numerically random unitary matrices and show that the statistical properties of their spectra (level-spacing distribution, number variance) and eigenvectors (entropy, participation ratio, eigenvector statistics) confer to the predictions of the random-matrix theory, for both CUE and COE.Keywords
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